1. 5/6
2. 2/3 x 5/6
3. 2/3 x 5/6 = 10/18
Multiply the numerators— 2 x 5 = 10
Multiply the denominators—3x 6= 18
4. 10/18 = 5/9
Find the greatest common factor of 10 and 18 which is 2.
Divide the numerator by 2– 10/2 = 5
Divide the denominator by 2– 18/2 = 9
I hope this helps!
Answer: B) (x-1)2+(y+1)2= 25 radius = 5 miles
Step-by-step explanation:
In order to get this answer you see that you are adding a negative to x in the first part then multiplying it by 2. Second, you add y+1 then multiplying it by 2. You get the radius of 25 which equals 5 miles. Look at the graph to also check your answers to the problem.
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.
A right angled triangle is a triangle with one angle equals to 90°.
Statement Reason
∠PQR = ∠RST Given. ∠PQR = ∠RST = 90° (definition for right
angle triangle.
PQ = ST Given
PR ≅ RT Since R is the midpoint of PT, hence PR = RT
ΔPQR ≅ ΔTSR Side-angle-side triangle congruence theorem.
the Side-angle-side triangle congruence theorem
states that if two sides and an included angle of
one triangle is equal to two sides and an included
angle of another triangle, then the two triangles
are congruent. PQ=ST, PR = RT and ∠PQR = ∠TSR
Area of sector = 1/2 * r^2 * x where r = radius and x = angle in radians
86 = 1/2 * r^2 * pi/4
r^2 = 2 * 86 * 4 / pi = 219
r = sqrt 219
= 14.80